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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities

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Author(s):
Lopes, Pedro T. P. [1] ; Schrohe, Elmar [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Leibniz Univ Hannover, Inst Anal, Welfengarten 1, D-30167 Hannover - Germany
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS; v. 25, n. 3, p. 1147-1202, JUN 2019.
Web of Science Citations: 0
Abstract

We prove the spectral invariance of the algebra of classical pseudodifferential boundary value problems on manifolds with conical singularities in the L-p-setting. As a consequence we also obtain the spectral invariance of the classical Boutet de Monvel algebra of zero order operators with parameters. In order to establish these results, we show the equivalence of Fredholm property and ellipticity for both cases. (AU)

FAPESP's process: 16/07016-8 - Applications of pseudo-differential methods to boundary value problems
Grantee:Pedro Tavares Paes Lopes
Support Opportunities: Regular Research Grants